How to Solve Parabola Questions ( Tip-02)
→ 2nd Tip
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For Example → Find the focus and
vertex of (x-1)2=-24(y-2)???
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First of all suppose x-1=X and
y-2=Y.So the equation becomes X2=-24Y
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Focus → =Find Focus of this
equation is same as that of above i.e:(0,-6).But here you have to follow one
more step as seen from this focus X=0 and Y=-6 So you have to put value of X
i.e.x-1 and Y=y-2.So,we get x-1=0 and y-2=-6,by solving this we get x=1 and
y=-4 so Focus becomes(1,-4).
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Vertex → Vertex of this equation(X2=-24Y)
is (0,0).Then,you have to follow same rule as that of focus.X=0 and Y=0
.Putting the value of X and Y.we get x-1=0 and y-2=0.By solving this we get
x=1 and y=2.So the vertex of this equation becomes (1,2)
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Directrix → .Here we apply same
rule as that of Example-1.We have equation X2=-24Y.So here
Directrix is equal to Y-6.Putting the value of Y
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Sometimes questions
asked like this → Find the equation,if focus(0,-8) ,vertex(0,0) and options are
given.
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Simply you have to find focus of
given options if any one of the option is matched with given focus,then that
will be the correct answer of given condition.
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Regards: Educated Networks

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